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Finding the Third Proportional to 501,537,312 and 774,665,724

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Solution

The third proportional to 501,537,312 and 774,665,724 is: 1,196,535,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,537,312 : 774,665,724 = 774,665,724 : x
  2. Step 2: Convert to fraction form
    501,537,312/774,665,724 = 774,665,724/x
  3. Step 3: Cross multiply
    501,537,312x = 774,665,724 × 774,665,724
  4. Step 4: Simplify right side
    501,537,312x = 600,106,983,940,444,160
  5. Step 5: Solve for x
    x = 600,106,983,940,444,160/501,537,312
  6. Step 6: Final answer
    x = 1,196,535,072.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.